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FromTheMoon [43]
3 years ago
12

The mass of Venus is 4.87 × 10 24 kg. The mass of Earth is 5.97 × 10 24 kg. What is the difference in mass between these two pla

nets? 1.1 kg 1.1 × 10 24 kg 1.22 × 10 24 kg 0.81 kg
Mathematics
1 answer:
Aliun [14]3 years ago
5 0

Answer: 1.1 x 10^{24} kg

Step-by-step explanation:

Mass of Venus = 4.87 x 10^{24}

Mass 0f Earth = 5.97 x 10^{24}

The difference in mass implies :

5.97 x 10^{24} - 4.87 x 10^{24}

= 1.1 x 10^{24}

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Find positive numbers x and y satisfying the equation xyequals12 such that the sum 4xplusy is as small as possible. Let S be the
WITCHER [35]

Answer:

The objective function in terms of one​ number, x is

S(x) = 4x + (12/x)

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Step-by-step explanation:

Two positive numbers, x and y

x × y = 12

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S(x,y) = 4x + y

We plan to minimize the sum subject to the constraint (xy = 12)

We can make y the subject of formula in the constraint equation

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Substituting into the objective function,

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(dS/dx) = 4 - (12/x²) = 0

4 - (12/x²) = 0

(12/x²) = 4

4x² = 12

x = √3

y = 12/√3 = 4√3

To just check if this point is truly a minimum

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7 0
3 years ago
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